Final answer:
The given vectors u and v are not orthogonal.
Step-by-step explanation:
To determine whether two vectors are orthogonal, we need to calculate their dot product. If the dot product is zero, then the vectors are orthogonal.
For the given vectors u = <-2,6> and v = <4,2>, we can calculate their dot product as follows:
u · v = -2 * 4 + 6 * 2 = -8 + 12 = 4
Since the dot product is not zero, the vectors u and v are not orthogonal.